wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Similarity and Congruence

Total questions: 20

Worksheet time: 18mins

Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
2.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.

The pair of figures are similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

5.

Find the area of the larger triangle

a)

17

b)

18

c)

19

d)

20

6.

Find the area of the smaller shape

a)

5

b)

6

c)

7

d)

8

7.

Find length x given the areas, be careful when working out the scale factor.

a)

4

b)

5

c)

6

d)

7

8.

Work out length x, be careful when working out the scale factor.

a)

Approx 4.38 cm

b)

Approx 4.58 cm

c)

Approx 4.78 cm

d)

Approx 3.38 cm

9.

Consider the following similar solids. Find the volume of the larger solid.

a)

82 cm cube

b)

80 cm cube

c)

89 cm cube

d)

85 cm cube

10.

Find the volume of the larger cone

a)

40.34

b)

40.5

c)

40.6

d)

40.15

11.

Find the length of the smaller solid, be careful when working out the scale factor

a)

approx 5.16

b)

approx 5.46

c)

approx 5.26

d)

approx 5.36

12.

Work out the missing length

a)

7

b)

9

c)

8

d)

6

13.

The area of the smaller ticket is 7 cm2, what is the area of the larger ticket?

a)

21 cm2

b)

18 cm2

c)

63 cm2

d)

189 cm2

14.

What is the size of angle x and the length of sides y and z?

a)

x = 63, y = 2.5, z = 9.6

b)

x = 63, y = 6.4, z = 3.75

c)

x = 97, y = 6.4, z = 9.6

d)

x = 97, y = 2.5, z = 3.75

15.

Find the length of CE

a)

7.8

b)

4.8

c)

10.8

d)

5.2

16.

Find the Length CD

a)

6.67

b)

18

c)

9

d)

8

17.

What is the Mathematical Term for Shapes that have all the same angles and all the same lengths?

a)

Similar

b)

Corresponding

c)

Congruent

d)

Alternate

18.

"These 2 shapes are Similar"

a)

True

b)

False

19.

OF is 3 times as long as OA. The smaller hexagon has an area of 4cm2, what is the area of the larger hexagon?

a)

12 cm2

b)

36 cm2

c)

72 cm2

d)

108 cm2

20.

Work out the Surface Area of Shape A

a)

66.5 cm2

b)

266 cm2

c)

1064 cm2

d)

6480 cm2